Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
Mathematics of Computation
Exact non-reflecting boundary conditions
Journal of Computational Physics
Non-reflecting boundary conditions
Journal of Computational Physics
Radiation boundary conditions for dispersive waves
SIAM Journal on Numerical Analysis
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Nonreflecting boundary conditions for time-dependent scattering
Journal of Computational Physics
A formulation of asymptotic and exact boundary conditions using local operators
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Numerical solution of problems on unbounded domains. a review
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Exact nonreflecting boundary condition for elastic waves
SIAM Journal on Applied Mathematics
High-order nonreflecting boundary conditions without high-order derivatives
Journal of Computational Physics
High-order non-reflecting boundary scheme for time-dependent waves
Journal of Computational Physics
New absorbing layers conditions for short water waves
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
A high-order based boundary condition for dynamic analysis of infinite reservoirs
Computers and Structures
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A layered-model is introduced to approximate the effects of stratification on linearizedshallow water equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g., atmospheric or oceanic) dynamics. However, computational models that embrace these very large domains that are global in magnitude can quickly overwhelm computer capabilities. The domain is therefore truncated via artificial boundaries, and nonreflecting boundary conditions (NRBC) devised by Higdon are imposed. A scheme previously proposed by Neta and Givoli that easily discretizes high-order Higdon NRBCs is used. The problem is solved by finite difference (FD) methods. Numerical examples follow the discussion.